1. Number systems

2. Q1. If both 112 and 33 are factors of the number a. 43. 62
Q1. If both 112 and 33 are factors of the number a * 43 * 62 * 1311, what is the smallest possible value of 'a'? A)121 b) 3267 c) 363 d) 616

3. Q2. Find out the number of zeroes in 8 × 15 × 23 × 17 × 25 × 22

4. Q3. Two pencils are 24cm and 42cm long
Q3.Two pencils are 24cm and 42cm long. If we have to make them of equal size, then the minimum number of similar pencils is

5. Q4. Find out the number of zeroes in 8 × 15 × 23 × 17 × 25 × 22 ?

6. Q5. Which of the following is the factor of 11 x 2^3 x 3^5 x 7^8?
6^5
121
6^2
More than one of the above.

7. Q6. If 11^2, 3^4 and 2^5 are the factors of a x 12^7 x 17^6 x 21^5 then what is the minimum possible value of a? 11
121
6^2
6^4

8. Q7. A person starts multiplying consecutive numbers starting from 20
Q7. A person starts multiplying consecutive numbers starting from 20. Till what minimum number he/she has to multiply to get a result ending with three zeros. 25 30 35 50

9. Q8. Find the number of factors of 19600?32 36 40 45

10. Q9. What is the least number which must be multiplied with 5400 to get a perfect square?2 3 6 8

11. Q10. What is the least number which must be multiplied with 43200 to get a perfect square?6 9

12. Q11.Square root of
53824 = ?

13. Q12. The last two digits of  998915423 are
B)91
C)61
D)None

14. Q13. Determine the digit in the units position of 13^23 * 27^37 * 19^45.
A)7
B)9
C)3
D)none

15. Q14. Which of the following has the most number of divisors?

16. Q15. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is
A)4
B)5
C)8
D)6

17. Q16. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is
D)None

18. Q17. The LCM of two number is 4800 and their HCF is 160
Q17.The LCM of two number is 4800 and their HCF is 160. If one number is 480, then the second number is